Finding the Third Proportional to 6,208 and 13,088

Step by Step Solution

1. Step 1: Write the proportion equation
   6,208 : 13,088 = 13,088 : x
2. Step 2: Convert to fraction form
   6,208/13,088 = 13,088/x
3. Step 3: Cross multiply
   6,208x = 13,088 × 13,088
4. Step 4: Simplify right side
   6,208x = 171,295,744
5. Step 5: Solve for x
   x = 171,295,744/6,208
6. Step 6: Final answer
   x = 27,592.74